Dissociated jerk-limited trajectory applied to time-varying vibration reduction

Jerk-limited trajectories are a widespread solution for the trajectory planning of industrial machines-tools or robots. It is known that jerk limitation can reduce vibrations and in some cases can totally suppress residual vibration induced by a lightly damped stationary mode. However, for systems with time-varying mode, which is classically the case for configuration dependent mode or load mass variations, the previous result vanishes. This paper proposes to extend the jerk-limited profile (JL) properties to time-varying vibration problem. First, a guideline for designing a dissociated jerk-limited profile (DJL) based on simple and pragmatic Finite Impulse Response (FIR) filtering methodology is presented. Following the guideline, the time-varying vibration reduction principle is detailed. Then, experiments conducted on an industrial 3-axes Cartesian manipulator are presented. The experimental results show that the residual vibration magnitude is reduced to less than 23% of the original level obtained with JL profile and the settling time is reduced by 10%, demonstrating the efficiency of the proposed DJL trajectory planning.

► Dissociated jerk limited profile is proposed to reduce time-varying vibration.
► The paper presents a pragmatic guideline to design DJL profile.
► Residual vibration magnitude is reduced to less than 23% of the original level on a 3-axis Cartesian robot.